help me answer this question please. :) a picture is attached below.

Maria must cut an additional $70 from her expenses each month in order to save enough money to buy a new TV that costs $420 in 6 months. By allocating this additional amount towards her savings goal, she will be able to reach her target within the desired timeframe. It's important for Maria to review her budget and identify areas where she can reduce expenses in order to make room for the additional savings. This could involve cutting back on discretionary spending, finding ways to save on daily expenses, or exploring opportunities to increase her income.

Maria must cut an additional $70 from her expenses each month.

To determine how much additional money Maria must cut from her expenses each month to afford a new TV that costs $420 in 6 months, we divide the total cost by the number of months.

Additional money per month = Total cost / Number of months

Additional money per month = $420 / 6

Additional money per month = $70

With careful planning and commitment to her budget, Maria can achieve her goal of purchasing a new TV without compromising her financial stability.

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Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is 70π/3.

To find the area between the large loop and the small loop of the curve, we need to find the points of intersection of the curve with itself.

Setting the equation of the curve equal to itself, we have:

2 + 4cos(3θ) = 2 + 4cos(3(θ + π))

Simplifying and solving for θ, we get:

cos(3θ) = -cos(3θ + 3π)

cos(3θ) + cos(3θ + 3π) = 0

Using the sum to product formula, we get:

2cos(3θ + 3π/2)cos(3π/2) = 0

cos(3θ + 3π/2) = 0

3θ + 3π/2 = π/2, 3π/2, 5π/2, 7π/2, ...

Solving for θ, we get:

θ = -π/6, -π/18, π/6, π/2, 5π/6, 7π/6, 3π/2, 11π/6

We can see that there are two small loops between θ = -π/6 and π/6, and two large loops between θ = π/6 and π/2, and between θ = 5π/6 and 7π/6.

To find the area between the large loop and the small loop, we need to integrate the area between the curve and the x-axis from θ = -π/6 to π/6, and subtract the area between the curve and the x-axis from θ = π/6 to π/2, and from θ = 5π/6 to 7π/6.

Using the formula for the area enclosed by a polar curve, we have:

A = 1/2 ∫[a,b] (r(θ))^2 dθ

where a and b are the angles of intersection.

For the small loops, we have:

A1 = 1/2 ∫[-π/6,π/6] (2 + 4cos(3θ))^2 dθ

Using trigonometric identities, we can simplify this to:

A1 = 1/2 ∫[-π/6,π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ

Evaluating the integral, we get:

A1 = 10π/3

For the large loops, we have:

A2 = 1/2 (∫[π/6,π/2] (2 + 4cos(3θ))^2 dθ + ∫[5π/6,7π/6] (2 + 4cos(3θ))^2 dθ)

Using the same trigonometric identities, we can simplify this to:

A2 = 1/2 (∫[π/6,π/2] 20 + 16cos(6θ) + 8cos(3θ) dθ + ∫[5π/6,7π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ)

Evaluating the integrals, we get:

A2 = 80π/3

Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is:

A = A2 - A1 = (80π/3) - (10π/3) = 70π/3

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The Diwali occurred on 0.408 or 40.8% of the year in 2017.

To find the fraction of the year that Diwali occurred in 2017, we need to divide the number of days between Diwali and the start of the year by the total number of days in the year.

Diwali occurred on Thursday, October 19, 2017. The start of the year 2017 is January 1, 2017 which is a Sunday.

There are 365 days in a non-leap year. Since 2017 is not a leap year, there are 365 days in that year.

So the fraction of the year that Diwali occurred in 2017 can be calculated as: (days between Diwali and the start of the year) / (total days in the year) = ( 19 + 31 + 30 + 31 + 30 + 19 ) / 365 = (148) / 365 = 0.408

So, the Diwali occurred on 0.408 or 40.8% of the year in 2017.

Therefore, Diwali occurred on 0.408 or 40.8%

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Answer:

B

Step-by-step explanation:

you can break the 78 into 70 and 8, and multiply them separately by 6 and then add the two answers to get 468

Answer:

x > 10/3 or x > 3 1/3

Step-by-step explanation:

Algebra 10? You sure it's not Algebra 1?

The answers are in order 3/50,1/20, greater than.

Answer:

1.b 2.a 3.b

Step-by-step explanation:

Answer:

the answer is one solution

Answer:

One solution

Step-by-step explanation:

y=2x+7

y=3x-1   (Multiply this by -1)

-y = -3x + 1

y=2x+7

0 = -x + 8

-x = -8

x = 8

y=2x+7

y= 2(8)+7

y = 16 + 7

y = 23

(8, 23)

Answer:

20.8%

Step-by-step explanation:

250-198=52

52÷250=0.208x100=20.8

hope this helps

have a good day

Answer:

x=62

Step-by-step explanation:

The two angles shown are alternate interior angles, so they are equivalent.

You can set up an equation like so:

2x - 30 = 94

Then you can solve from here by:

Adding 30 to each side:

2x = 124

Dividing each side by 2:

x=62

62 is your answer

Hope this helps!

Step-by-step explanation:

B. Find the area of the base so as to calculate the volume of the prism

The  probability that at least two of the three knights sit next to each other is $1-\dfrac{306}{2300}=\dfrac{1994}{2300}$.

The sum of the numerator and denominator is $1994+2300=\boxed{4294}$.

We can use complementary probability to solve this problem. The probability that none of the three knights sit next to each other is the same as the probability that they are sitting in a specific arrangement around the table, with no two adjacent knights chosen.

To calculate this probability, we can choose one knight to start, and then choose two knights from the remaining $20$ knights who are not adjacent to the first knight. There are $20$ ways to choose the first knight, and ${20-2-1\choose 2}=153$ ways to choose two non-adjacent knights from the remaining $20-2=18$ knights. So the probability that none of the three knights sit next to each other is $\dfrac{20\cdot 153}{ {25\choose 3}}=\dfrac{306}{2300}$.

Therefore, the probability that at least two of the three knights sit next to each other is $1-\dfrac{306}{2300}=\dfrac{1994}{2300}$.

The sum of the numerator and denominator is $1994+2300=\boxed{4294}$.

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Answer:

B

Step-by-step explanation:

To determine which points are on the line of direct variation through (5, 12), we can use the equation of direct variation, which is given by y = kx, where k is the constant of variation.

Given the point (5, 12), we can substitute these values into the equation and solve for k:

12 = k * 5

k = 12 / 5

k = 2.4

Now, we can check which other points satisfy the equation y = 2.4x:

Checking each point:

(0, 0): 0 = 2.4 * 0 => 0 = 0 (satisfied)

(2.5, 6): 6 ≠ 2.4 * 2.5 => 6 ≠ 6 (not satisfied)

(3, 10): 10 ≠ 2.4 * 3 => 10 ≠ 7.2 (not satisfied)

(7.5, 18): 18 ≠ 2.4 * 7.5 => 18 ≠ 18 (satisfied)

(12.5, 24): 24 ≠ 2.4 * 12.5 => 24 ≠ 30 (not satisfied)

(15, 36): 36 ≠ 2.4 * 15 => 36 ≠ 36 (satisfied)

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Answer:

it is

A, B, D, and, F

Step-by-step explanation:

trust me i just did the asigenment

Substituting 0, -1, and -2 into the function f(x) = x - 2, we obtain the corresponding values of -2, -3, and -4, respectively. To find the values of f(x) for the given function f(x) = x - 2, we substitute the respective values of x into the function and evaluate the expression.

(a) f(0): We substitute 0 for x in the function f(x) = x - 2. Thus, f(0) = 0 - 2 = -2. Therefore, f(0) is equal to -2.

(c) f(-1): We substitute -1 for x in the function f(x) = x - 2. Thus, f(-1) = -1 - 2 = -3. Therefore, f(-1) is equal to -3.

(d) f(-2): We substitute -2 for x in the function f(x) = x - 2. Thus, f(-2) = -2 - 2 = -4. Therefore, f(-2) is equal to -4.

In summary, the values of the function f(x) = x - 2 for the given inputs are:

(a) f(0) = -2

(c) f(-1) = -3

(d) f(-2) = -4

These results indicate that when we substitute 0, -1, and -2 into the function f(x) = x - 2, we obtain the corresponding values of -2, -3, and -4, respectively.

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The graph of g is the graph of f translated 5 units right , the equation of g(x) = 2x-4.

The complete function is

Consider the function f(x) = 2x + 6 and the graph of the function g shown below.

The graph of g is the graph of f translated (1,4,5 or 6) units (left, right, up, or down) ?

and g(x) = ?

A Straight line function is given by y =- mx +c , where m is the slope and c is the intercept on y axis.

From the graph it can be seen that

for y = mx+c

at x =0 ,y= -4

at y=0, x=2

Slope = 4/2 = 2

y = 2x +c

-4 =c

y = 2x -4

From the equation it can be concluded that the graph of g is the graph of f translated 5 units right .

Therefore the equation of g(x) = 2x-4

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Answer:

128 m^2

Step-by-step explanation:

You have 5 sides of a cube on the bottom with length 4

    5  *    4x4  = 80 m^2

then four triangles on top

   area of triangle = 1/2 base * height     base = 4   height = 6

         4    * 1/2 ( 4)(6)  = 48 m^2

  summed = 128 m^2

a. Explain why a quadratic function was used to model the data.

option b

The height decreases quickly at first, but then decreases more slowly, which looks like a quadratic function.

and option C

The height starts decreasing more and more rapidly, which looks like a quadratic function.

describe a logarithm function

then possibles answers are option A and D

from the information you give me

since we are talking about a thrown of a ball

the answer is option A

A The height increases then decreases, which looks like a quadratic function.

Answer:

At least 105 tickets must be sold for there to be a 7500 dollar profit

Step-by-step explanation:

Let c = number of couple tickets

ticket sales - costs = profits

We want profits greater than 7500

75c - 375 ≥ 7500

Add 375 from each side

75c-375+375 ≥ 7500 +375

75c ≥ 7875

Divide each side by 75

75c/75 ≥ 7875/75

c ≥ 105

At least 105 tickets must be sold for there to be a 7500 dollar profit

Answer:1 1/4

Step-by-step explanation: If it is 5/4 it makes one whole leaving an extra

The translation would be:

A(1,2) = > A(-1, -2)

B(5,1) = > B(3,-3)

C(5,4) = > (3, 0)

Number 3

the triangle R'S'T' is a translation of the vector <3,2>

Number 4

J(4,5) with the translation ( x + 6, y -3)

J(4 + 6, 5 - 3)

J(10, 2)

The answer would be J(10,2)

Answer:

50 cards

Step-by-step explanation:

28*2= 56

56-6=50

Answer:

50

Step-by-step explanation:

28 x 2 = 56

56 - 6 = 50

The area of the given  isosceles triangle is 480 square units.

Isosceles triangle:

An isosceles triangle is a triangle with two sides of equal length. Let's do a little activity to understand this better. Take a square piece of paper and fold it in half. Draw a line from the folded top corner to the bottom edge (see image below). Open the sheet and you will see a triangle. Mark the triangle vertices as O, D, C. Then measure OD and OC. Repeat this activity at different scales and observe patterns. We can see that OD and OC are always the same. A triangle with two equal sides is called an isosceles triangle.

Given,

base (b) = 20 units and

height (h) = 120 units.

The formula to calculate the area is 1/2 × b × h square units.

By substituting the values, we get

⇒ Area = 1/2 × 20 × 120

            = 480 unit Squares

Therefore, the area of the given  isosceles triangle is 96 square units.

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Step-by-step explanation:Step-by-step explanation:

For Sienna to be able to take the square root of both sides while solving a quadratic equation, she must have an expression with square on at least, the side that contains the variable she is trying to determine. Equation of the form:

(x + a) ² = b

'a' and 'b' could be any number, -1, 0, 1/3, -5/6, anything really.

So, she can take square roots of both sides then, like this

√(x + a)² = √b

x + a = ±√b

x = -a ± √b

Square roots always cancel out squares, and the '±' is because a square is satisfies by both + and -, 3² = 9, and (-3)² = 9.

It is the nature of the problem being solved that determines if we take just one or both of these answers.

We have to find the marginal cost of the function:

for the value t=6. We remember that the marginal cost is defined as the derivative of the function of total cost. So, for finding the value of marginal cost, we will find its function:

Then, using the properties of differentiation,

And then, for finding the last derivative, we use the chain rule:

This means that our marginal cost function is:

Finding the value when t=6

We just have to find the value M(6), by replacing t by 6, as shown:

This means that the marginal cost when t=6 is 0.07 million dollars per year.

Answer:

It's surface area is 1257.14cm^2

Step-by-step explanation:

area=22/7×20cm×20cm

=3.14×20cm×20cm

=1257.14cm^2

Answer: 3/8, 0.375, 37.5%

Step-by-step explanation:

Count the number of cards with odd numbers that are greater than 4. 5, 7, and 9 are odd numbers greater than 4. There are 3 cards with odd numbers greater than 4. Probability is found by dividing this by the total number of cards, 8. This gets you a fraction of 3/8.